The imprint of the world in our minds is not photographic: all the brain knows of the outside world is a chaotic sequence of electric impulses and out of these it creates a structural entity: our perception of what we see and hear. Most of the time, an adult's brain talks to itself and creates … Continue reading Another Mikhail Gromov Piece→

It's interesting to find this presentation because last week as I was traveling and thinking about random things, I suddenly realized that perhaps graphs & networks are the underlying math for ways of describing our universe! We have social networks, biological systems, genealogy(family trees), entropy, lots of math objects (even knots!), brain, CFT, Feynman diagrams, … Continue reading Category of Networks PPT→

In mathematics you don't understand things. You just get used to them. --John Von Neumann Since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.--Leonhard Euler

A famous result by our mathemagician Persi Diaconis: 7 shuffles is enough. Put it in everyday words, to randomize one set of Poker cards, you need to (Riffle) shuffle at least 7 times. *Side note: according to this lecture notes, the interpretation is not correct. To completely randomize the deck, you need 11 or more. … Continue reading 7 Shuffles is Enough→

It was a ghostful Monday--a Monday full of non-measurable ghosts. You've probably heard of this one sphere cut into five pieces becomes two spheres story. This Monday Professor Persi Diaconis gave a public Halloween lecture about these ghosts. I would love to share an amazing proof that shows 0.5=0.99 or 0.999 or 0.9999. Well, with … Continue reading Non-Measuable Ghost: Persi’s Halloween Talk→